SOLUTION: 1. Find the zeros of the polynomial function and state the multiplicity of each: f(x) = -5x^2 (x-9)(x+3)^3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 1. Find the zeros of the polynomial function and state the multiplicity of each: f(x) = -5x^2 (x-9)(x+3)^3      Log On


   



Question 433919: 1. Find the zeros of the polynomial function and state the multiplicity of each:
f(x) = -5x^2 (x-9)(x+3)^3

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the zeros of the polynomial function and state the multiplicity of each:
f(x) = -5x^2 (x-9)(x+3)^3
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Let y = 0 and solve for "x":
-5x^2 (x-9)(x+3)^3 = 0
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-5x^2 = 0 or x-9 = 0 or (x+3)^3 = 0
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So: x = 0 with multiplicity 2
or x = 9 with multiplicity 1
or x = -3 with multiplicity 3
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Cheers,
Stan H.
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